684093120 has 224 divisors, whose sum is σ = 2272198656. Its totient is φ = 174182400.

The previous prime is 684093097. The next prime is 684093127. The reversal of 684093120 is 21390486.

It is not an unprimeable number, because it can be changed into a prime (684093127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3779430 + ... + 3779610.

It is an arithmetic number, because the mean of its divisors is an integer number (10143744).

Almost surely, 2^684093120 is an apocalyptic number.

684093120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 684093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136099328).

684093120 is an abundant number, since it is smaller than the sum of its proper divisors (1588105536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

684093120 is a wasteful number, since it uses less digits than its factorization.

684093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 684093120 is about 26155.1738667515. The cubic root of 684093120 is about 881.1267934993.

The spelling of 684093120 in words is "six hundred eighty-four million, ninety-three thousand, one hundred twenty".